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Finding the Third Proportional to 123.26 and 265.87

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Solution

The third proportional to 123.26 and 265.87 is: 573.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.26 : 265.87 = 265.87 : x
  2. Step 2: Convert to fraction form
    123.26/265.87 = 265.87/x
  3. Step 3: Cross multiply
    123.26x = 265.87 × 265.87
  4. Step 4: Simplify right side
    123.26x = 70,689.45
  5. Step 5: Solve for x
    x = 70,689.45/123.26
  6. Step 6: Final answer
    x = 573.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.